Sentence examples for model structure then from inspiring English sources

injective model structure, then termwise extensions of e and (e^dagger ) are left resp.

Moreover, if (langle f_0,f_1 rangle ) is in F with respect to this model structure, then so are (f_0) and (f_1).

Passing to the categories of sections, we obtain a functor begin{aligned} widetilde{m}^*:{text {Sec}}((M(M i)),widetilde{t}^*rho ^*mathcal {C}') rightarrow mathcal {C}_i^{'M(M i))}, end{aligned}and if we equip its target with the projective model structure, then the functor is right-derivable.

At the beginning of the simulation, the network description (NED) language is first used to describe the model structure, then the simple modules are grouped into the compound module by connection or combination, and, finally, the largest compound module performs the simulation.

If we have an abelian subcategory (mathcal {C}_0 subset mathcal {C})—for example, coherent sheaves on a Noetherian scheme inside of quasicoherent schemes and (C_cdot (mathcal {C})) has either the injective or the projective model structure, then (langle C_cdot (mathcal {C}_0),C_cdot (mathcal {C}) rangle ) is a stable model pair.

First, we describe the model structure, then detail the parameters and, finally, present the scenarios that were simulated.

This approach is extremely powerful when dealing with complex materials as it enables the scientist to model the structure, then apply SQUEEZE which will lead to improvements in the atomic model.

This refined model structure was then used to simulate the absorption of a number of different fluids and confirmation with experimental absorption data, adopting the same fluid, provided the necessary confidence in the model.

The model structure was then utilized to design several active control approaches which incorporated periodic fuel injection at an arbitrary location between the primary injector and the burning zone.

The full model structure was then compared with a comparable model where the deme structure was exchanged with a temperature-group (SW vs LC) structure, using Akaike Information Criterion (AIC -values for compAIC -values].

However, when available data and knowledge are not enough to assume model structures and perform quantitative analysis, it is essential to use qualitative model learning approaches to first qualitatively infer the model structure and then analyse biochemical systems at a qualitative level [ 47, 63].